GCF of 461/22, 8445/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 461/22, 8445/674 i.e 1/7414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 461/22, 8445/674.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 461/22,8445/674?
Given fractions are 461/22,8445/674
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 461/22,8445/674, numerators are 461,8445
Denominators are 22,674
The GCF of 461,8445 is 1 .
LCM of 22,674 is 7414.
The greatest common factor of 461/22,8445/674 = [GCF of 461,8445]/[LCM of 22,674]= 1/7414
Therefore, the GCF of 461/22,8445/674 is 1/7414.
To find the highest common factor of 461,8445, we have to find the factors of both numbers and list the highest common factor.
The factors of 461 are 1, 461
The factors of 8445 are 1, 3, 5, 15, 563, 1689, 2815, 8445
The HCF of 461,8445 is 1.
Lets's calculate GCF of 461,8445
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 461,8445 By Matching Biggest Common Factor Method
Now, list down the factors of 461
:1,461
Now, list down the factors of 8445
:1,3,5,15,563,1689,2815,8445
Greatest Common Factor
We found the factors 461,8445 . The biggest common factor number is the GCF number.
So the greatest common factor 461,8445 is 1.
Lets's calculate LCM of 22,674
| 2 | 22, 674 |
| 11, 337 |
∴ So the LCM of the given numbers is 2 x 11 x 337 = 7414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7414
Therefore, the GCF of Fractions 461/22,8445/674 is 1/7414
Least Common Multiple of 22,674 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 22,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,674) x common factors =2 x 1 = 2
LCM(22,674) = ( 22 × 674 ) / 2
LCM(22,674) = 14828 / 2
LCM(22,674) = 7414
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FAQs on GCF of Fractions of 461/22, 8445/674
1. What is the HCF of 461,8445?
The HCF of 461,8445 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 461/22, 8445/674?
Answer: GCF of Numerators as per given numbers 461/22, 8445/674 is
GCF of Numerators i.e. for 461,8445 is 1
LCM of denominators i.e. for 22,674 is 7414.
Thus, GCF of Fractions is 1/7414.Finally, GCF of Fractions for 461/22, 8445/674 is 1/7414.